Exam 13: Glm 2: Comparing Means Adjusted for Other Predictors Analysis of Covariance

Run a one-way ANOVA on the covariate data to see if the means are roughly the same across the three groups. Which of the following is correct?

Analyse the following table. How might you express the data as a multiple regression model when dummy variables are incorporated?

Which of the following statements best describes a covariate?

Run an ANCOVA on the data. What effect do the independent variable (i.e. learning style) and covariate (i.e. motivation) have on the dependent variable (i.e. performance)?

Because the research design is slightly more complicated, partial eta squared can be used. What is the correction expression for the calculation?

Analyse the following data. What is the proportion of variance accounted for by the learning style alone?

Based on the result in Q11, which of the statements best reflects the outcome of the one-way ANOVA?

Examine the table below. Based on the answer in Q20, calculate the partial eta squared for motivation.

Examine the table in Q21 again and calculate the partial eta squared value for motivation.

When conducting an ANCOVA, which would be the most appropriate order?

How would you express the results of the learning style component of the ANCOVA?

What graphical illustration might you use to visually inspect the homogeneity of regression slopes (i.e. different variables)?

Analyse the following graph. The data shows the results of three groups of 15 athletes who were instructed to complete a basketball shooting exercise (success rate from 20 free throw shots) having received one of three methods of instruction, auditory (shooting technique being verbally described by a coach), visual (shooting technique being verbally described by a coach) or kinaesthetic (no coaching, just asked to perform the shooting exercise). Motivation acted as the covariate of interest. How would you describe the regression slopes?

Which contrast would be most appropriate if you wished to compare each learning style against a control group (i.e. kinaesthetic)?

Analyse the following illustration. Which scenario is referable when trying to explain the impact a covariate has on an outcome variable?

What is the purpose of using an ANCOVA?

How is eta squared calculated?

Calculate the mean and standard deviation of the kinaesthetic group from the data below.

Having run a simple contrast with the univariate test, interpret the following table and decide which of the following statements is most appropriate.

If you were to analyse the effect of caffeine dose (no caffeine, high and low doses) on reaction time, which of the following might be considered the most reasonable covariate?